Null Sectional Curvatures of Warped Products
Bengi R. Yavuz, B\"ulent \"unal, Fernando Dobarro
TL;DR
This paper derives formulas for null sectional curvatures in Lorentzian warped product manifolds, including various well-known space-time models, enhancing understanding of their geometric properties in general relativity.
Contribution
It provides explicit formulas for null sectional curvatures in several important Lorentzian warped product space-times, a novel contribution to geometric analysis in relativity.
Findings
Formulas for null sectional curvatures in multiply generalized Robertson-Walker space-times
Formulas for null sectional curvatures in generalized Kasner spacetimes
Formulas for null sectional curvatures in standard static space-times
Abstract
In this paper, we investigate the null (light-like) sectional curvatures of Lorentzian warped product manifolds. We derive the formulas for the null sectional curvature of many well-known warped product space-time models such as multiply generalized Robertson-Walker space-times, generalized Kasner spacetimes and standard static space-times.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds